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Finding the Fourth Proportional to 16,437.84, 24,660 and 4,751.16

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Solution

The fourth proportional to 16,437.84, 24,660 and 4,751.16 is: 7,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.84 : 24,660 = 4,751.16 : x
  2. Step 2: Convert to fraction form
    16,437.84/24,660 = 4,751.16/x
  3. Step 3: Cross multiply
    16,437.84x = 24,660 × 4,751.16
  4. Step 4: Simplify right side
    16,437.84x = 117,163,605.60
  5. Step 5: Solve for x
    x = 117,163,605.60/16,437.84
  6. Step 6: Final answer
    x = 7,127.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.